%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM538+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 14:11:28 EDT 2022
% Result : Theorem 1.51s 1.72s
% Output : Refutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of clauses : 16 ( 10 unt; 1 nHn; 16 RR)
% Number of literals : 34 ( 7 equ; 20 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ aSet0(X)
| ~ aElementOf0(Y,X)
| aElement0(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
cnf(25,axiom,
( ~ aSet0(X)
| ~ aElement0(Y)
| Z != sdtmndt0(X,Y)
| aSet0(Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
cnf(28,axiom,
( ~ aSet0(X)
| ~ aElement0(Y)
| Z != sdtmndt0(X,Y)
| ~ aElementOf0(U,Z)
| U != Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
cnf(34,axiom,
( ~ aSet0(X)
| ~ aElementOf0(Y,X)
| sdtpldt0(sdtmndt0(X,Y),Y) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mConsDiff) ).
cnf(39,axiom,
( ~ aElement0(X)
| ~ aSet0(Y)
| ~ isFinite0(Y)
| isFinite0(sdtmndt0(Y,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFDiffSet) ).
cnf(63,axiom,
( ~ aSet0(X)
| ~ isFinite0(X)
| ~ aElement0(Y)
| aElementOf0(Y,X)
| sbrdtbr0(sdtpldt0(X,Y)) = szszuzczcdt0(sbrdtbr0(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardCons) ).
cnf(64,hypothesis,
aSet0(xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1522) ).
cnf(65,hypothesis,
isFinite0(xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1522_02) ).
cnf(66,hypothesis,
aElementOf0(xx,xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1522_02) ).
cnf(67,negated_conjecture,
szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))) != sbrdtbr0(xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(79,plain,
aElement0(xx),
inference('HYPERRESOLVE',[status(thm)],[1,64,66]) ).
cnf(90,plain,
sdtpldt0(sdtmndt0(xS,xx),xx) = xS,
inference('HYPERRESOLVE',[status(thm)],[34,64,66]) ).
cnf(105,plain,
aSet0(sdtmndt0(xS,xx)),
inference('HYPERRESOLVE',[status(thm)],[25,79,64,theory(equality)]) ).
cnf(111,plain,
isFinite0(sdtmndt0(xS,xx)),
inference('HYPERRESOLVE',[status(thm)],[39,79,64,65]) ).
cnf(121,plain,
~ aElementOf0(xx,sdtmndt0(xS,xx)),
inference('UR-RESOLVE',[status(thm)],[28,79,64,theory(equality),theory(equality)]) ).
cnf(2499,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[63,111,105,79]),67,90,121,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM538+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jul 6 20:10:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T20:10:27
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-06T20:10:27
% 0.19/0.50 WARNING:
% 0.19/0.50 |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 1.51/1.72
% 1.51/1.72
% 1.51/1.72 #||
% 1.51/1.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.51/1.72 % SZS output start Refutation
% See solution above
% 1.51/1.72 ||#
% 1.51/1.72
% 1.51/1.72 ; Summary of computation:
% 1.51/1.72 ; 3508 formulas have been input or derived (from 107 formulas).
% 1.51/1.72 ; 2499 (71%) were retained. Of these,
% 1.51/1.72 ; 104 ( 4%) were simplified or subsumed later,
% 1.51/1.72 ; 2395 (96%) are still being kept.
% 1.51/1.72 ;
% 1.51/1.72 ; Run time in seconds excluding printing time:
% 1.51/1.72 ; 0.010 1% Read assertion file (1 call)
% 1.51/1.72 ; 0.002 0% Assert (46 calls)
% 1.51/1.72 ; 0.201 16% Process new row (3,430 calls)
% 1.51/1.72 ; 0.327 26% Resolution (212 calls)
% 1.51/1.72 ; 0.000 0% Paramodulation (106 calls)
% 1.51/1.72 ; 0.003 0% Condensing (2,008 calls)
% 1.51/1.72 ; 0.474 38% Forward subsumption (2,008 calls)
% 1.51/1.72 ; 0.093 7% Backward subsumption (1,827 calls)
% 1.51/1.72 ; 0.008 1% Clause clause subsumption (2,608 calls)
% 1.51/1.72 ; 0.076 6% Forward simplification (3,429 calls)
% 1.51/1.72 ; 0.004 0% Backward simplification (2,499 calls)
% 1.51/1.72 ; 0.004 0% Ordering (3,551 calls)
% 1.51/1.72 ; 0.001 0% Sortal reasoning (32 calls)
% 1.51/1.72 ; 0.001 0% Purity testing (1 call)
% 1.51/1.72 ; 0.038 3% Other
% 1.51/1.72 ; 1.242 Total
% 1.51/1.72 ; 1.243 Real time
% 1.51/1.72 ;
% 1.51/1.72 ; Term-hash-array has 5,446 terms in all.
% 1.51/1.72 ; Feature-vector-row-index has 1,749 entries (1,750 at peak, 1,827 added, 78 deleted).
% 1.51/1.72 ; Feature-vector-row-index has 10,830 nodes (10,833 at peak, 11,498 added, 668 deleted).
% 1.51/1.72 ; Retrieved 2,797 possibly forward subsuming rows in 2,008 calls.
% 1.51/1.72 ; Retrieved 732 possibly backward subsumed rows in 1,827 calls.
% 1.51/1.72 ; Path-index has 5,376 entries (5,376 at peak, 5,535 added, 159 deleted).
% 1.51/1.72 ; Path-index has 1,199 nodes (1,199 at peak, 1,235 added, 36 deleted).
% 1.51/1.72 ; Trie-index has 5,376 entries (5,376 at peak, 5,535 added, 159 deleted).
% 1.51/1.72 ; Trie-index has 13,323 nodes (13,323 at peak, 13,647 added, 324 deleted).
% 1.51/1.72 ; Retrieved 1,581 generalization terms in 16,626 calls.
% 1.51/1.72 ; Retrieved 671 instance terms in 671 calls.
% 1.51/1.72 ; Retrieved 849,851 unifiable terms in 32,552 calls.
% 1.51/1.72 ;
% 1.51/1.72 ; The agenda of rows to process has 6 entries:
% 1.51/1.72 ; 1 with value 26 5 with value 28
% 1.51/1.72 ; The agenda of rows to give has 2288 entries:
% 1.51/1.72 ; 19 with value (4 8) 34 with value (4 22) 27 with value (4 36)
% 1.51/1.72 ; 37 with value (4 9) 22 with value (4 23) 89 with value (4 37)
% 1.51/1.72 ; 52 with value (4 10) 41 with value (4 24) 125 with value (4 39)
% 1.51/1.72 ; 76 with value (4 11) 38 with value (4 25) 82 with value (4 40)
% 1.51/1.72 ; 86 with value (4 12) 54 with value (4 26) 25 with value (4 41)
% 1.51/1.72 ; 159 with value (4 13) 21 with value (4 27) 90 with value (4 42)
% 1.51/1.72 ; 83 with value (4 14) 46 with value (4 28) 15 with value (4 43)
% 1.51/1.72 ; 62 with value (4 15) 20 with value (4 29) 261 with value (4 45)
% 1.51/1.72 ; 17 with value (4 16) 50 with value (4 30) 1 with value (4 46)
% 1.51/1.72 ; 33 with value (4 17) 24 with value (4 31) 43 with value (4 47)
% 1.51/1.72 ; 21 with value (4 18) 34 with value (4 32) 118 with value (4 48)
% 1.51/1.72 ; 2 with value (4 19) 18 with value (4 33) 98 with value (4 53)
% 1.51/1.72 ; 35 with value (4 20) 27 with value (4 34) 36 with value (4 58)
% 1.51/1.72 ; 22 with value (4 21) 45 with value (4 35) 100 with value (4 63)
% 1.51/1.72 Evaluation took:
% 1.51/1.72 1.244 seconds of real time
% 1.51/1.72 1.181173 seconds of user run time
% 1.51/1.72 0.063367 seconds of system run time
% 1.51/1.72 [Run times include 0.106 seconds GC run time.]
% 1.51/1.72 0 calls to %EVAL
% 1.51/1.72 0 page faults and
% 1.51/1.72 123,010,712 bytes consed.
% 1.51/1.72 :PROOF-FOUND
% 1.51/1.72 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T20:10:28
% 1.51/1.72 :PROOF-FOUND
% 1.51/1.72 *
%------------------------------------------------------------------------------